Quantam Liénard II equation and Jacobi's Last Multiplier

In this survey the role of Jacobi's last multiplier in mechanical systems with a position dependent mass is unveiled. In particular, we map the Liénard II equation x" + f(x)x'2 + g(x) = 0 to a position dependent mass system. The quantization of the Liénard II equation is then carried...

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Bibliographic Details
Main Authors: A. Ghose Choudhury, Partha Guha
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2015-09-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v10/p10_01.pdf